Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(295,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.295");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.1485512441856.7 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 24x^{6} + 455x^{4} + 2904x^{2} + 14641 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 393.2 | ||
Root | \(2.04914 - 3.54921i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.393 |
Dual form | 637.2.f.g.295.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | 0.633316 | − | 0.773893i | \(-0.281693\pi\) |
−0.986869 | + | 0.161521i | \(0.948360\pi\) | |||||||
\(3\) | −0.707107 | − | 1.22474i | −0.408248 | − | 0.707107i | 0.586445 | − | 0.809989i | \(-0.300527\pi\) |
−0.994694 | + | 0.102882i | \(0.967194\pi\) | |||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 4.09827 | 1.83280 | 0.916401 | − | 0.400260i | \(-0.131080\pi\) | ||||
0.916401 | + | 0.400260i | \(0.131080\pi\) | |||||||
\(6\) | −0.707107 | + | 1.22474i | −0.288675 | + | 0.500000i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −3.00000 | −1.06066 | ||||||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | −2.04914 | − | 3.54921i | −0.647994 | − | 1.12236i | ||||
\(11\) | 1.89792 | + | 3.28729i | 0.572243 | + | 0.991154i | 0.996335 | + | 0.0855351i | \(0.0272600\pi\) |
−0.424092 | + | 0.905619i | \(0.639407\pi\) | |||||||
\(12\) | −1.41421 | −0.408248 | ||||||||
\(13\) | −0.634922 | − | 3.54921i | −0.176096 | − | 0.984373i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.89792 | − | 5.01934i | −0.748239 | − | 1.29599i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 0.634922 | − | 1.09972i | 0.153991 | − | 0.266721i | −0.778700 | − | 0.627396i | \(-0.784121\pi\) |
0.932691 | + | 0.360676i | \(0.117454\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 1.41421 | − | 2.44949i | 0.324443 | − | 0.561951i | −0.656957 | − | 0.753928i | \(-0.728157\pi\) |
0.981399 | + | 0.191977i | \(0.0614899\pi\) | |||||||
\(20\) | 2.04914 | − | 3.54921i | 0.458201 | − | 0.793627i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.89792 | − | 3.28729i | 0.404637 | − | 0.700852i | ||||
\(23\) | 3.89792 | + | 6.75139i | 0.812772 | + | 1.40776i | 0.910917 | + | 0.412590i | \(0.135376\pi\) |
−0.0981454 | + | 0.995172i | \(0.531291\pi\) | |||||||
\(24\) | 2.12132 | + | 3.67423i | 0.433013 | + | 0.750000i | ||||
\(25\) | 11.7958 | 2.35917 | ||||||||
\(26\) | −2.75624 | + | 2.32446i | −0.540544 | + | 0.455865i | ||||
\(27\) | −5.65685 | −1.08866 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.397916 | − | 0.689210i | −0.0738911 | − | 0.127983i | 0.826712 | − | 0.562625i | \(-0.190208\pi\) |
−0.900604 | + | 0.434642i | \(0.856875\pi\) | |||||||
\(30\) | −2.89792 | + | 5.01934i | −0.529085 | + | 0.916401i | ||||
\(31\) | −1.41421 | −0.254000 | −0.127000 | − | 0.991903i | \(-0.540535\pi\) | ||||
−0.127000 | + | 0.991903i | \(0.540535\pi\) | |||||||
\(32\) | −2.50000 | + | 4.33013i | −0.441942 | + | 0.765466i | ||||
\(33\) | 2.68406 | − | 4.64893i | 0.467235 | − | 0.809274i | ||||
\(34\) | −1.26984 | −0.217777 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −1.39792 | − | 2.42126i | −0.229816 | − | 0.398053i | 0.727937 | − | 0.685643i | \(-0.240479\pi\) |
−0.957753 | + | 0.287591i | \(0.907146\pi\) | |||||||
\(38\) | −2.82843 | −0.458831 | ||||||||
\(39\) | −3.89792 | + | 3.28729i | −0.624166 | + | 0.526387i | ||||
\(40\) | −12.2948 | −1.94398 | ||||||||
\(41\) | −1.48640 | − | 2.57452i | −0.232136 | − | 0.402072i | 0.726300 | − | 0.687378i | \(-0.241238\pi\) |
−0.958437 | + | 0.285306i | \(0.907905\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.89792 | + | 6.75139i | −0.594427 | + | 1.02958i | 0.399201 | + | 0.916863i | \(0.369288\pi\) |
−0.993628 | + | 0.112714i | \(0.964046\pi\) | |||||||
\(44\) | 3.79583 | 0.572243 | ||||||||
\(45\) | 2.04914 | − | 3.54921i | 0.305467 | − | 0.529085i | ||||
\(46\) | 3.89792 | − | 6.75139i | 0.574716 | − | 0.995438i | ||||
\(47\) | 2.82843 | 0.412568 | 0.206284 | − | 0.978492i | \(-0.433863\pi\) | ||||
0.206284 | + | 0.978492i | \(0.433863\pi\) | |||||||
\(48\) | 0.707107 | − | 1.22474i | 0.102062 | − | 0.176777i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −5.89792 | − | 10.2155i | −0.834091 | − | 1.44469i | ||||
\(51\) | −1.79583 | −0.251467 | ||||||||
\(52\) | −3.39116 | − | 1.22474i | −0.470270 | − | 0.169842i | ||||
\(53\) | −12.5917 | −1.72960 | −0.864799 | − | 0.502118i | \(-0.832554\pi\) | ||||
−0.864799 | + | 0.502118i | \(0.832554\pi\) | |||||||
\(54\) | 2.82843 | + | 4.89898i | 0.384900 | + | 0.666667i | ||||
\(55\) | 7.77817 | + | 13.4722i | 1.04881 | + | 1.81659i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.00000 | −0.529813 | ||||||||
\(58\) | −0.397916 | + | 0.689210i | −0.0522489 | + | 0.0904977i | ||||
\(59\) | 6.21959 | − | 10.7726i | 0.809722 | − | 1.40248i | −0.103335 | − | 0.994647i | \(-0.532951\pi\) |
0.913057 | − | 0.407833i | \(-0.133715\pi\) | |||||||
\(60\) | −5.79583 | −0.748239 | ||||||||
\(61\) | −4.17046 | + | 7.22344i | −0.533972 | + | 0.924867i | 0.465240 | + | 0.885185i | \(0.345968\pi\) |
−0.999212 | + | 0.0396825i | \(0.987365\pi\) | |||||||
\(62\) | 0.707107 | + | 1.22474i | 0.0898027 | + | 0.155543i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | −2.60208 | − | 14.5456i | −0.322749 | − | 1.80416i | ||||
\(66\) | −5.36812 | −0.660769 | ||||||||
\(67\) | 1.89792 | + | 3.28729i | 0.231867 | + | 0.401606i | 0.958358 | − | 0.285571i | \(-0.0921831\pi\) |
−0.726490 | + | 0.687177i | \(0.758850\pi\) | |||||||
\(68\) | −0.634922 | − | 1.09972i | −0.0769956 | − | 0.133360i | ||||
\(69\) | 5.51249 | − | 9.54790i | 0.663625 | − | 1.14943i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.00000 | + | 5.19615i | −0.356034 | + | 0.616670i | −0.987294 | − | 0.158901i | \(-0.949205\pi\) |
0.631260 | + | 0.775571i | \(0.282538\pi\) | |||||||
\(72\) | −1.50000 | + | 2.59808i | −0.176777 | + | 0.306186i | ||||
\(73\) | −12.5836 | −1.47279 | −0.736397 | − | 0.676550i | \(-0.763474\pi\) | ||||
−0.736397 | + | 0.676550i | \(0.763474\pi\) | |||||||
\(74\) | −1.39792 | + | 2.42126i | −0.162504 | + | 0.281466i | ||||
\(75\) | −8.34091 | − | 14.4469i | −0.963126 | − | 1.66818i | ||||
\(76\) | −1.41421 | − | 2.44949i | −0.162221 | − | 0.280976i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.79583 | + | 1.73205i | 0.543021 | + | 0.196116i | ||||
\(79\) | −2.20417 | −0.247988 | −0.123994 | − | 0.992283i | \(-0.539570\pi\) | ||||
−0.123994 | + | 0.992283i | \(0.539570\pi\) | |||||||
\(80\) | 2.04914 | + | 3.54921i | 0.229100 | + | 0.396813i | ||||
\(81\) | 2.50000 | + | 4.33013i | 0.277778 | + | 0.481125i | ||||
\(82\) | −1.48640 | + | 2.57452i | −0.164145 | + | 0.284308i | ||||
\(83\) | −9.89949 | −1.08661 | −0.543305 | − | 0.839535i | \(-0.682827\pi\) | ||||
−0.543305 | + | 0.839535i | \(0.682827\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.60208 | − | 4.50694i | 0.282236 | − | 0.488847i | ||||
\(86\) | 7.79583 | 0.840646 | ||||||||
\(87\) | −0.562738 | + | 0.974691i | −0.0603318 | + | 0.104498i | ||||
\(88\) | −5.69375 | − | 9.86186i | −0.606955 | − | 1.05128i | ||||
\(89\) | 7.48944 | + | 12.9721i | 0.793879 | + | 1.37504i | 0.923549 | + | 0.383481i | \(0.125275\pi\) |
−0.129670 | + | 0.991557i | \(0.541392\pi\) | |||||||
\(90\) | −4.09827 | −0.431996 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 7.79583 | 0.812772 | ||||||||
\(93\) | 1.00000 | + | 1.73205i | 0.103695 | + | 0.179605i | ||||
\(94\) | −1.41421 | − | 2.44949i | −0.145865 | − | 0.252646i | ||||
\(95\) | 5.79583 | − | 10.0387i | 0.594640 | − | 1.02995i | ||||
\(96\) | 7.07107 | 0.721688 | ||||||||
\(97\) | 2.12132 | − | 3.67423i | 0.215387 | − | 0.373062i | −0.738005 | − | 0.674795i | \(-0.764232\pi\) |
0.953392 | + | 0.301733i | \(0.0975652\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.79583 | 0.381495 | ||||||||
\(100\) | 5.89792 | − | 10.2155i | 0.589792 | − | 1.02155i | ||||
\(101\) | 4.87756 | + | 8.44819i | 0.485336 | + | 0.840626i | 0.999858 | − | 0.0168509i | \(-0.00536408\pi\) |
−0.514522 | + | 0.857477i | \(0.672031\pi\) | |||||||
\(102\) | 0.897916 | + | 1.55524i | 0.0889069 | + | 0.153991i | ||||
\(103\) | 5.36812 | 0.528936 | 0.264468 | − | 0.964394i | \(-0.414804\pi\) | ||||
0.264468 | + | 0.964394i | \(0.414804\pi\) | |||||||
\(104\) | 1.90477 | + | 10.6476i | 0.186778 | + | 1.04409i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.29583 | + | 10.9047i | 0.611505 | + | 1.05916i | ||||
\(107\) | 3.00000 | + | 5.19615i | 0.290021 | + | 0.502331i | 0.973814 | − | 0.227345i | \(-0.0730044\pi\) |
−0.683793 | + | 0.729676i | \(0.739671\pi\) | |||||||
\(108\) | −2.82843 | + | 4.89898i | −0.272166 | + | 0.471405i | ||||
\(109\) | 1.59166 | 0.152454 | 0.0762268 | − | 0.997091i | \(-0.475713\pi\) | ||||
0.0762268 | + | 0.997091i | \(0.475713\pi\) | |||||||
\(110\) | 7.77817 | − | 13.4722i | 0.741620 | − | 1.28452i | ||||
\(111\) | −1.97695 | + | 3.42418i | −0.187644 | + | 0.325009i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.29583 | + | 2.24445i | −0.121902 | + | 0.211140i | −0.920518 | − | 0.390701i | \(-0.872233\pi\) |
0.798616 | + | 0.601841i | \(0.205566\pi\) | |||||||
\(114\) | 2.00000 | + | 3.46410i | 0.187317 | + | 0.324443i | ||||
\(115\) | 15.9747 | + | 27.6690i | 1.48965 | + | 2.58015i | ||||
\(116\) | −0.795832 | −0.0738911 | ||||||||
\(117\) | −3.39116 | − | 1.22474i | −0.313513 | − | 0.113228i | ||||
\(118\) | −12.4392 | −1.14512 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 8.69375 | + | 15.0580i | 0.793627 | + | 1.37460i | ||||
\(121\) | −1.70417 | + | 2.95171i | −0.154924 | + | 0.268337i | ||||
\(122\) | 8.34091 | 0.755151 | ||||||||
\(123\) | −2.10208 | + | 3.64092i | −0.189539 | + | 0.328290i | ||||
\(124\) | −0.707107 | + | 1.22474i | −0.0635001 | + | 0.109985i | ||||
\(125\) | 27.8512 | 2.49108 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.79583 | + | 10.0387i | 0.514297 | + | 0.890788i | 0.999862 | + | 0.0165881i | \(0.00528038\pi\) |
−0.485566 | + | 0.874200i | \(0.661386\pi\) | |||||||
\(128\) | 1.50000 | + | 2.59808i | 0.132583 | + | 0.229640i | ||||
\(129\) | 11.0250 | 0.970695 | ||||||||
\(130\) | −11.2958 | + | 9.52628i | −0.990710 | + | 0.835510i | ||||
\(131\) | 5.36812 | 0.469015 | 0.234507 | − | 0.972114i | \(-0.424652\pi\) | ||||
0.234507 | + | 0.972114i | \(0.424652\pi\) | |||||||
\(132\) | −2.68406 | − | 4.64893i | −0.233617 | − | 0.404637i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1.89792 | − | 3.28729i | 0.163955 | − | 0.283978i | ||||
\(135\) | −23.1833 | −1.99530 | ||||||||
\(136\) | −1.90477 | + | 3.29915i | −0.163332 | + | 0.282900i | ||||
\(137\) | 9.39792 | − | 16.2777i | 0.802918 | − | 1.39069i | −0.114769 | − | 0.993392i | \(-0.536613\pi\) |
0.917688 | − | 0.397303i | \(-0.130054\pi\) | |||||||
\(138\) | −11.0250 | −0.938508 | ||||||||
\(139\) | 0.851476 | − | 1.47480i | 0.0722212 | − | 0.125091i | −0.827653 | − | 0.561240i | \(-0.810325\pi\) |
0.899875 | + | 0.436149i | \(0.143658\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.00000 | − | 3.46410i | −0.168430 | − | 0.291730i | ||||
\(142\) | 6.00000 | 0.503509 | ||||||||
\(143\) | 10.4622 | − | 8.82327i | 0.874896 | − | 0.737839i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −1.63077 | − | 2.82457i | −0.135428 | − | 0.234568i | ||||
\(146\) | 6.29178 | + | 10.8977i | 0.520711 | + | 0.901898i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.79583 | −0.229816 | ||||||||
\(149\) | 7.29583 | − | 12.6368i | 0.597698 | − | 1.03524i | −0.395462 | − | 0.918482i | \(-0.629416\pi\) |
0.993160 | − | 0.116761i | \(-0.0372511\pi\) | |||||||
\(150\) | −8.34091 | + | 14.4469i | −0.681033 | + | 1.17958i | ||||
\(151\) | 1.59166 | 0.129528 | 0.0647639 | − | 0.997901i | \(-0.479371\pi\) | ||||
0.0647639 | + | 0.997901i | \(0.479371\pi\) | |||||||
\(152\) | −4.24264 | + | 7.34847i | −0.344124 | + | 0.596040i | ||||
\(153\) | −0.634922 | − | 1.09972i | −0.0513304 | − | 0.0889069i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.79583 | −0.465532 | ||||||||
\(156\) | 0.897916 | + | 5.01934i | 0.0718908 | + | 0.401869i | ||||
\(157\) | −0.144369 | −0.0115219 | −0.00576095 | − | 0.999983i | \(-0.501834\pi\) | ||||
−0.00576095 | + | 0.999983i | \(0.501834\pi\) | |||||||
\(158\) | 1.10208 | + | 1.90887i | 0.0876771 | + | 0.151861i | ||||
\(159\) | 8.90365 | + | 15.4216i | 0.706105 | + | 1.22301i | ||||
\(160\) | −10.2457 | + | 17.7460i | −0.809992 | + | 1.40295i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 2.50000 | − | 4.33013i | 0.196419 | − | 0.340207i | ||||
\(163\) | −7.69375 | + | 13.3260i | −0.602621 | + | 1.04377i | 0.389802 | + | 0.920899i | \(0.372543\pi\) |
−0.992423 | + | 0.122871i | \(0.960790\pi\) | |||||||
\(164\) | −2.97280 | −0.232136 | ||||||||
\(165\) | 11.0000 | − | 19.0526i | 0.856349 | − | 1.48324i | ||||
\(166\) | 4.94975 | + | 8.57321i | 0.384175 | + | 0.665410i | ||||
\(167\) | −0.851476 | − | 1.47480i | −0.0658892 | − | 0.114123i | 0.831199 | − | 0.555975i | \(-0.187655\pi\) |
−0.897088 | + | 0.441852i | \(0.854322\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.1937 | + | 4.50694i | −0.937981 | + | 0.346688i | ||||
\(170\) | −5.20417 | −0.399142 | ||||||||
\(171\) | −1.41421 | − | 2.44949i | −0.108148 | − | 0.187317i | ||||
\(172\) | 3.89792 | + | 6.75139i | 0.297213 | + | 0.514789i | ||||
\(173\) | 8.90365 | − | 15.4216i | 0.676932 | − | 1.17248i | −0.298968 | − | 0.954263i | \(-0.596642\pi\) |
0.975900 | − | 0.218218i | \(-0.0700242\pi\) | |||||||
\(174\) | 1.12548 | 0.0853221 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.89792 | + | 3.28729i | −0.143061 | + | 0.247789i | ||||
\(177\) | −17.5917 | −1.32227 | ||||||||
\(178\) | 7.48944 | − | 12.9721i | 0.561357 | − | 0.972299i | ||||
\(179\) | 9.79583 | + | 16.9669i | 0.732175 | + | 1.26816i | 0.955952 | + | 0.293524i | \(0.0948279\pi\) |
−0.223777 | + | 0.974640i | \(0.571839\pi\) | |||||||
\(180\) | −2.04914 | − | 3.54921i | −0.152734 | − | 0.264542i | ||||
\(181\) | 3.80953 | 0.283160 | 0.141580 | − | 0.989927i | \(-0.454782\pi\) | ||||
0.141580 | + | 0.989927i | \(0.454782\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 11.7958 | 0.871973 | ||||||||
\(184\) | −11.6937 | − | 20.2542i | −0.862074 | − | 1.49316i | ||||
\(185\) | −5.72904 | − | 9.92299i | −0.421207 | − | 0.729552i | ||||
\(186\) | 1.00000 | − | 1.73205i | 0.0733236 | − | 0.127000i | ||||
\(187\) | 4.82012 | 0.352482 | ||||||||
\(188\) | 1.41421 | − | 2.44949i | 0.103142 | − | 0.178647i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −11.5917 | −0.840948 | ||||||||
\(191\) | 8.10208 | − | 14.0332i | 0.586246 | − | 1.01541i | −0.408473 | − | 0.912771i | \(-0.633938\pi\) |
0.994719 | − | 0.102638i | \(-0.0327282\pi\) | |||||||
\(192\) | −4.94975 | − | 8.57321i | −0.357217 | − | 0.618718i | ||||
\(193\) | −11.2958 | − | 19.5650i | −0.813092 | − | 1.40832i | −0.910690 | − | 0.413090i | \(-0.864449\pi\) |
0.0975983 | − | 0.995226i | \(-0.468884\pi\) | |||||||
\(194\) | −4.24264 | −0.304604 | ||||||||
\(195\) | −15.9747 | + | 13.4722i | −1.14397 | + | 0.964764i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.00000 | + | 6.92820i | 0.284988 | + | 0.493614i | 0.972606 | − | 0.232458i | \(-0.0746770\pi\) |
−0.687618 | + | 0.726073i | \(0.741344\pi\) | |||||||
\(198\) | −1.89792 | − | 3.28729i | −0.134879 | − | 0.233617i | ||||
\(199\) | −2.53969 | + | 4.39887i | −0.180034 | + | 0.311828i | −0.941892 | − | 0.335916i | \(-0.890954\pi\) |
0.761858 | + | 0.647744i | \(0.224287\pi\) | |||||||
\(200\) | −35.3875 | −2.50227 | ||||||||
\(201\) | 2.68406 | − | 4.64893i | 0.189319 | − | 0.327910i | ||||
\(202\) | 4.87756 | − | 8.44819i | 0.343184 | − | 0.594412i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.897916 | + | 1.55524i | −0.0628667 | + | 0.108888i | ||||
\(205\) | −6.09166 | − | 10.5511i | −0.425460 | − | 0.736919i | ||||
\(206\) | −2.68406 | − | 4.64893i | −0.187007 | − | 0.323906i | ||||
\(207\) | 7.79583 | 0.541848 | ||||||||
\(208\) | 2.75624 | − | 2.32446i | 0.191111 | − | 0.161172i | ||||
\(209\) | 10.7362 | 0.742641 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.89792 | − | 6.75139i | −0.268344 | − | 0.464785i | 0.700091 | − | 0.714054i | \(-0.253143\pi\) |
−0.968434 | + | 0.249269i | \(0.919810\pi\) | |||||||
\(212\) | −6.29583 | + | 10.9047i | −0.432399 | + | 0.748938i | ||||
\(213\) | 8.48528 | 0.581402 | ||||||||
\(214\) | 3.00000 | − | 5.19615i | 0.205076 | − | 0.355202i | ||||
\(215\) | −15.9747 | + | 27.6690i | −1.08947 | + | 1.88701i | ||||
\(216\) | 16.9706 | 1.15470 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.795832 | − | 1.37842i | −0.0539005 | − | 0.0933584i | ||||
\(219\) | 8.89792 | + | 15.4116i | 0.601265 | + | 1.04142i | ||||
\(220\) | 15.5563 | 1.04881 | ||||||||
\(221\) | −4.30625 | − | 1.55524i | −0.289670 | − | 0.104616i | ||||
\(222\) | 3.95390 | 0.265369 | ||||||||
\(223\) | 2.82843 | + | 4.89898i | 0.189405 | + | 0.328060i | 0.945052 | − | 0.326920i | \(-0.106011\pi\) |
−0.755647 | + | 0.654979i | \(0.772677\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.89792 | − | 10.2155i | 0.393194 | − | 0.681033i | ||||
\(226\) | 2.59166 | 0.172395 | ||||||||
\(227\) | −3.67990 | + | 6.37378i | −0.244244 | + | 0.423043i | −0.961919 | − | 0.273336i | \(-0.911873\pi\) |
0.717675 | + | 0.696378i | \(0.245206\pi\) | |||||||
\(228\) | −2.00000 | + | 3.46410i | −0.132453 | + | 0.229416i | ||||
\(229\) | 12.7279 | 0.841085 | 0.420542 | − | 0.907273i | \(-0.361840\pi\) | ||||
0.420542 | + | 0.907273i | \(0.361840\pi\) | |||||||
\(230\) | 15.9747 | − | 27.6690i | 1.05334 | − | 1.82444i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.19375 | + | 2.06763i | 0.0783733 | + | 0.135747i | ||||
\(233\) | 17.1833 | 1.12572 | 0.562859 | − | 0.826553i | \(-0.309702\pi\) | ||||
0.562859 | + | 0.826553i | \(0.309702\pi\) | |||||||
\(234\) | 0.634922 | + | 3.54921i | 0.0415062 | + | 0.232019i | ||||
\(235\) | 11.5917 | 0.756157 | ||||||||
\(236\) | −6.21959 | − | 10.7726i | −0.404861 | − | 0.701240i | ||||
\(237\) | 1.55858 | + | 2.69954i | 0.101241 | + | 0.175354i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.2042 | −0.660053 | −0.330026 | − | 0.943972i | \(-0.607058\pi\) | ||||
−0.330026 | + | 0.943972i | \(0.607058\pi\) | |||||||
\(240\) | 2.89792 | − | 5.01934i | 0.187060 | − | 0.323997i | ||||
\(241\) | −5.58467 | + | 9.67293i | −0.359740 | + | 0.623088i | −0.987917 | − | 0.154982i | \(-0.950468\pi\) |
0.628177 | + | 0.778070i | \(0.283801\pi\) | |||||||
\(242\) | 3.40834 | 0.219096 | ||||||||
\(243\) | −4.94975 | + | 8.57321i | −0.317526 | + | 0.549972i | ||||
\(244\) | 4.17046 | + | 7.22344i | 0.266986 | + | 0.462433i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.20417 | 0.268048 | ||||||||
\(247\) | −9.59166 | − | 3.46410i | −0.610303 | − | 0.220416i | ||||
\(248\) | 4.24264 | 0.269408 | ||||||||
\(249\) | 7.00000 | + | 12.1244i | 0.443607 | + | 0.768350i | ||||
\(250\) | −13.9256 | − | 24.1198i | −0.880731 | − | 1.52547i | ||||
\(251\) | 8.34091 | − | 14.4469i | 0.526474 | − | 0.911879i | −0.473050 | − | 0.881035i | \(-0.656847\pi\) |
0.999524 | − | 0.0308439i | \(-0.00981948\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.7958 | + | 25.6271i | −0.930206 | + | 1.61116i | ||||
\(254\) | 5.79583 | − | 10.0387i | 0.363663 | − | 0.629882i | ||||
\(255\) | −7.35981 | −0.460889 | ||||||||
\(256\) | 8.50000 | − | 14.7224i | 0.531250 | − | 0.920152i | ||||
\(257\) | −4.31483 | − | 7.47350i | −0.269151 | − | 0.466184i | 0.699492 | − | 0.714641i | \(-0.253410\pi\) |
−0.968643 | + | 0.248457i | \(0.920077\pi\) | |||||||
\(258\) | −5.51249 | − | 9.54790i | −0.343192 | − | 0.594427i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −13.8979 | − | 5.01934i | −0.861912 | − | 0.311286i | ||||
\(261\) | −0.795832 | −0.0492607 | ||||||||
\(262\) | −2.68406 | − | 4.64893i | −0.165822 | − | 0.287212i | ||||
\(263\) | −1.69375 | − | 2.93366i | −0.104441 | − | 0.180897i | 0.809069 | − | 0.587714i | \(-0.199972\pi\) |
−0.913510 | + | 0.406817i | \(0.866639\pi\) | |||||||
\(264\) | −8.05217 | + | 13.9468i | −0.495577 | + | 0.858365i | ||||
\(265\) | −51.6041 | −3.17001 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.5917 | − | 18.3453i | 0.648199 | − | 1.12271i | ||||
\(268\) | 3.79583 | 0.231867 | ||||||||
\(269\) | −6.21959 | + | 10.7726i | −0.379215 | + | 0.656820i | −0.990948 | − | 0.134244i | \(-0.957139\pi\) |
0.611733 | + | 0.791064i | \(0.290473\pi\) | |||||||
\(270\) | 11.5917 | + | 20.0773i | 0.705446 | + | 1.22187i | ||||
\(271\) | −8.75928 | − | 15.1715i | −0.532088 | − | 0.921604i | −0.999298 | − | 0.0374577i | \(-0.988074\pi\) |
0.467210 | − | 0.884147i | \(-0.345259\pi\) | |||||||
\(272\) | 1.26984 | 0.0769956 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.7958 | −1.13550 | ||||||||
\(275\) | 22.3875 | + | 38.7763i | 1.35002 | + | 2.33830i | ||||
\(276\) | −5.51249 | − | 9.54790i | −0.331813 | − | 0.574716i | ||||
\(277\) | −16.0917 | + | 27.8716i | −0.966854 | + | 1.67464i | −0.262306 | + | 0.964985i | \(0.584483\pi\) |
−0.704548 | + | 0.709656i | \(0.748850\pi\) | |||||||
\(278\) | −1.70295 | −0.102136 | ||||||||
\(279\) | −0.707107 | + | 1.22474i | −0.0423334 | + | 0.0733236i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 24.7958 | 1.47920 | 0.739598 | − | 0.673049i | \(-0.235016\pi\) | ||||
0.739598 | + | 0.673049i | \(0.235016\pi\) | |||||||
\(282\) | −2.00000 | + | 3.46410i | −0.119098 | + | 0.206284i | ||||
\(283\) | 7.92254 | + | 13.7222i | 0.470946 | + | 0.815703i | 0.999448 | − | 0.0332294i | \(-0.0105792\pi\) |
−0.528501 | + | 0.848932i | \(0.677246\pi\) | |||||||
\(284\) | 3.00000 | + | 5.19615i | 0.178017 | + | 0.308335i | ||||
\(285\) | −16.3931 | −0.971043 | ||||||||
\(286\) | −12.8723 | − | 4.64893i | −0.761155 | − | 0.274897i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.50000 | + | 4.33013i | 0.147314 | + | 0.255155i | ||||
\(289\) | 7.69375 | + | 13.3260i | 0.452573 | + | 0.783880i | ||||
\(290\) | −1.63077 | + | 2.82457i | −0.0957619 | + | 0.165865i | ||||
\(291\) | −6.00000 | −0.351726 | ||||||||
\(292\) | −6.29178 | + | 10.8977i | −0.368198 | + | 0.637738i | ||||
\(293\) | 1.48640 | − | 2.57452i | 0.0868363 | − | 0.150405i | −0.819336 | − | 0.573314i | \(-0.805658\pi\) |
0.906172 | + | 0.422909i | \(0.138991\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 25.4896 | − | 44.1492i | 1.48406 | − | 2.57047i | ||||
\(296\) | 4.19375 | + | 7.26378i | 0.243757 | + | 0.422199i | ||||
\(297\) | −10.7362 | − | 18.5957i | −0.622979 | − | 1.07903i | ||||
\(298\) | −14.5917 | −0.845272 | ||||||||
\(299\) | 21.4872 | − | 18.1211i | 1.24264 | − | 1.04797i | ||||
\(300\) | −16.6818 | −0.963126 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.795832 | − | 1.37842i | −0.0457950 | − | 0.0793192i | ||||
\(303\) | 6.89792 | − | 11.9475i | 0.396275 | − | 0.686368i | ||||
\(304\) | 2.82843 | 0.162221 | ||||||||
\(305\) | −17.0917 | + | 29.6036i | −0.978666 | + | 1.69510i | ||||
\(306\) | −0.634922 | + | 1.09972i | −0.0362961 | + | 0.0628667i | ||||
\(307\) | −20.0583 | −1.14478 | −0.572392 | − | 0.819980i | \(-0.693985\pi\) | ||||
−0.572392 | + | 0.819980i | \(0.693985\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −3.79583 | − | 6.57457i | −0.215937 | − | 0.374014i | ||||
\(310\) | 2.89792 | + | 5.01934i | 0.164591 | + | 0.285079i | ||||
\(311\) | −28.8323 | −1.63493 | −0.817464 | − | 0.575980i | \(-0.804621\pi\) | ||||
−0.817464 | + | 0.575980i | \(0.804621\pi\) | |||||||
\(312\) | 11.6937 | − | 9.86186i | 0.662028 | − | 0.558318i | ||||
\(313\) | 15.2676 | 0.862976 | 0.431488 | − | 0.902119i | \(-0.357989\pi\) | ||||
0.431488 | + | 0.902119i | \(0.357989\pi\) | |||||||
\(314\) | 0.0721845 | + | 0.125027i | 0.00407360 | + | 0.00705569i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.10208 | + | 1.90887i | −0.0619971 | + | 0.107382i | ||||
\(317\) | 6.59166 | 0.370225 | 0.185112 | − | 0.982717i | \(-0.440735\pi\) | ||||
0.185112 | + | 0.982717i | \(0.440735\pi\) | |||||||
\(318\) | 8.90365 | − | 15.4216i | 0.499292 | − | 0.864799i | ||||
\(319\) | 1.51042 | − | 2.61613i | 0.0845674 | − | 0.146475i | ||||
\(320\) | 28.6879 | 1.60370 | ||||||||
\(321\) | 4.24264 | − | 7.34847i | 0.236801 | − | 0.410152i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.79583 | − | 3.11047i | −0.0999227 | − | 0.173071i | ||||
\(324\) | 5.00000 | 0.277778 | ||||||||
\(325\) | −7.48944 | − | 41.8659i | −0.415439 | − | 2.32230i | ||||
\(326\) | 15.3875 | 0.852235 | ||||||||
\(327\) | −1.12548 | − | 1.94938i | −0.0622390 | − | 0.107801i | ||||
\(328\) | 4.45919 | + | 7.72355i | 0.246218 | + | 0.426462i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −22.0000 | −1.21106 | ||||||||
\(331\) | −14.6937 | + | 25.4503i | −0.807641 | + | 1.39888i | 0.106852 | + | 0.994275i | \(0.465923\pi\) |
−0.914493 | + | 0.404601i | \(0.867410\pi\) | |||||||
\(332\) | −4.94975 | + | 8.57321i | −0.271653 | + | 0.470516i | ||||
\(333\) | −2.79583 | −0.153211 | ||||||||
\(334\) | −0.851476 | + | 1.47480i | −0.0465907 | + | 0.0806974i | ||||
\(335\) | 7.77817 | + | 13.4722i | 0.424967 | + | 0.736065i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.9792 | 0.979387 | 0.489694 | − | 0.871895i | \(-0.337109\pi\) | ||||
0.489694 | + | 0.871895i | \(0.337109\pi\) | |||||||
\(338\) | 10.0000 | + | 8.30662i | 0.543928 | + | 0.451821i | ||||
\(339\) | 3.66517 | 0.199064 | ||||||||
\(340\) | −2.60208 | − | 4.50694i | −0.141118 | − | 0.244423i | ||||
\(341\) | −2.68406 | − | 4.64893i | −0.145350 | − | 0.251753i | ||||
\(342\) | −1.41421 | + | 2.44949i | −0.0764719 | + | 0.132453i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 11.6937 | − | 20.2542i | 0.630485 | − | 1.09203i | ||||
\(345\) | 22.5917 | − | 39.1299i | 1.21629 | − | 2.10668i | ||||
\(346\) | −17.8073 | −0.957326 | ||||||||
\(347\) | 16.4896 | − | 28.5608i | 0.885207 | − | 1.53322i | 0.0397307 | − | 0.999210i | \(-0.487350\pi\) |
0.845476 | − | 0.534013i | \(-0.179317\pi\) | |||||||
\(348\) | 0.562738 | + | 0.974691i | 0.0301659 | + | 0.0522489i | ||||
\(349\) | −13.2907 | − | 23.0201i | −0.711433 | − | 1.23224i | −0.964319 | − | 0.264742i | \(-0.914713\pi\) |
0.252887 | − | 0.967496i | \(-0.418620\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.59166 | + | 20.0773i | 0.191709 | + | 1.07165i | ||||
\(352\) | −18.9792 | −1.01159 | ||||||||
\(353\) | −2.61187 | − | 4.52390i | −0.139016 | − | 0.240783i | 0.788108 | − | 0.615536i | \(-0.211061\pi\) |
−0.927124 | + | 0.374754i | \(0.877727\pi\) | |||||||
\(354\) | 8.79583 | + | 15.2348i | 0.467493 | + | 0.809722i | ||||
\(355\) | −12.2948 | + | 21.2952i | −0.652541 | + | 1.13023i | ||||
\(356\) | 14.9789 | 0.793879 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.79583 | − | 16.9669i | 0.517726 | − | 0.896727i | ||||
\(359\) | −4.00000 | −0.211112 | −0.105556 | − | 0.994413i | \(-0.533662\pi\) | ||||
−0.105556 | + | 0.994413i | \(0.533662\pi\) | |||||||
\(360\) | −6.14741 | + | 10.6476i | −0.323997 | + | 0.561179i | ||||
\(361\) | 5.50000 | + | 9.52628i | 0.289474 | + | 0.501383i | ||||
\(362\) | −1.90477 | − | 3.29915i | −0.100112 | − | 0.173400i | ||||
\(363\) | 4.82012 | 0.252990 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −51.5708 | −2.69934 | ||||||||
\(366\) | −5.89792 | − | 10.2155i | −0.308289 | − | 0.533972i | ||||
\(367\) | −10.6066 | − | 18.3712i | −0.553660 | − | 0.958967i | −0.998006 | − | 0.0631123i | \(-0.979897\pi\) |
0.444346 | − | 0.895855i | \(-0.353436\pi\) | |||||||
\(368\) | −3.89792 | + | 6.75139i | −0.203193 | + | 0.351940i | ||||
\(369\) | −2.97280 | −0.154758 | ||||||||
\(370\) | −5.72904 | + | 9.92299i | −0.297839 | + | 0.515871i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 2.00000 | 0.103695 | ||||||||
\(373\) | −3.29583 | + | 5.70855i | −0.170652 | + | 0.295577i | −0.938648 | − | 0.344877i | \(-0.887921\pi\) |
0.767996 | + | 0.640454i | \(0.221254\pi\) | |||||||
\(374\) | −2.41006 | − | 4.17434i | −0.124621 | − | 0.215850i | ||||
\(375\) | −19.6937 | − | 34.1106i | −1.01698 | − | 1.76146i | ||||
\(376\) | −8.48528 | −0.437595 | ||||||||
\(377\) | −2.19350 | + | 1.84988i | −0.112971 | + | 0.0952737i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.6937 | − | 21.9862i | −0.652034 | − | 1.12936i | −0.982629 | − | 0.185583i | \(-0.940583\pi\) |
0.330595 | − | 0.943773i | \(-0.392751\pi\) | |||||||
\(380\) | −5.79583 | − | 10.0387i | −0.297320 | − | 0.514973i | ||||
\(381\) | 8.19654 | − | 14.1968i | 0.419922 | − | 0.727326i | ||||
\(382\) | −16.2042 | −0.829077 | ||||||||
\(383\) | −6.07522 | + | 10.5226i | −0.310429 | + | 0.537680i | −0.978455 | − | 0.206458i | \(-0.933806\pi\) |
0.668026 | + | 0.744138i | \(0.267140\pi\) | |||||||
\(384\) | 2.12132 | − | 3.67423i | 0.108253 | − | 0.187500i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −11.2958 | + | 19.5650i | −0.574943 | + | 0.995830i | ||||
\(387\) | 3.89792 | + | 6.75139i | 0.198142 | + | 0.343192i | ||||
\(388\) | −2.12132 | − | 3.67423i | −0.107694 | − | 0.186531i | ||||
\(389\) | −0.387495 | −0.0196468 | −0.00982338 | − | 0.999952i | \(-0.503127\pi\) | ||||
−0.00982338 | + | 0.999952i | \(0.503127\pi\) | |||||||
\(390\) | 19.6546 | + | 7.09841i | 0.995250 | + | 0.359442i | ||||
\(391\) | 9.89949 | 0.500639 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.79583 | − | 6.57457i | −0.191474 | − | 0.331643i | ||||
\(394\) | 4.00000 | − | 6.92820i | 0.201517 | − | 0.349038i | ||||
\(395\) | −9.03328 | −0.454514 | ||||||||
\(396\) | 1.89792 | − | 3.28729i | 0.0953739 | − | 0.165192i | ||||
\(397\) | −3.53553 | + | 6.12372i | −0.177443 | + | 0.307341i | −0.941004 | − | 0.338395i | \(-0.890116\pi\) |
0.763561 | + | 0.645736i | \(0.223449\pi\) | |||||||
\(398\) | 5.07938 | 0.254606 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 5.89792 | + | 10.2155i | 0.294896 | + | 0.510774i | ||||
\(401\) | 2.19375 | + | 3.79968i | 0.109551 | + | 0.189747i | 0.915588 | − | 0.402117i | \(-0.131726\pi\) |
−0.806038 | + | 0.591864i | \(0.798392\pi\) | |||||||
\(402\) | −5.36812 | −0.267737 | ||||||||
\(403\) | 0.897916 | + | 5.01934i | 0.0447284 | + | 0.250031i | ||||
\(404\) | 9.75513 | 0.485336 | ||||||||
\(405\) | 10.2457 | + | 17.7460i | 0.509112 | + | 0.881808i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.30625 | − | 9.19070i | 0.263021 | − | 0.455566i | ||||
\(408\) | 5.38749 | 0.266721 | ||||||||
\(409\) | −9.39420 | + | 16.2712i | −0.464513 | + | 0.804561i | −0.999179 | − | 0.0405026i | \(-0.987104\pi\) |
0.534666 | + | 0.845063i | \(0.320437\pi\) | |||||||
\(410\) | −6.09166 | + | 10.5511i | −0.300846 | + | 0.521080i | ||||
\(411\) | −26.5813 | −1.31116 | ||||||||
\(412\) | 2.68406 | − | 4.64893i | 0.132234 | − | 0.229036i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.89792 | − | 6.75139i | −0.191572 | − | 0.331813i | ||||
\(415\) | −40.5708 | −1.99154 | ||||||||
\(416\) | 16.9558 | + | 6.12372i | 0.831328 | + | 0.300240i | ||||
\(417\) | −2.40834 | −0.117937 | ||||||||
\(418\) | −5.36812 | − | 9.29785i | −0.262563 | − | 0.454773i | ||||
\(419\) | 12.8576 | + | 22.2699i | 0.628133 | + | 1.08796i | 0.987926 | + | 0.154926i | \(0.0495138\pi\) |
−0.359794 | + | 0.933032i | \(0.617153\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.5917 | 0.613680 | 0.306840 | − | 0.951761i | \(-0.400728\pi\) | ||||
0.306840 | + | 0.951761i | \(0.400728\pi\) | |||||||
\(422\) | −3.89792 | + | 6.75139i | −0.189748 | + | 0.328652i | ||||
\(423\) | 1.41421 | − | 2.44949i | 0.0687614 | − | 0.119098i | ||||
\(424\) | 37.7750 | 1.83452 | ||||||||
\(425\) | 7.48944 | − | 12.9721i | 0.363291 | − | 0.629239i | ||||
\(426\) | −4.24264 | − | 7.34847i | −0.205557 | − | 0.356034i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.00000 | 0.290021 | ||||||||
\(429\) | −18.2042 | − | 6.57457i | −0.878906 | − | 0.317423i | ||||
\(430\) | 31.9494 | 1.54074 | ||||||||
\(431\) | −16.5917 | − | 28.7376i | −0.799192 | − | 1.38424i | −0.920143 | − | 0.391583i | \(-0.871928\pi\) |
0.120950 | − | 0.992659i | \(-0.461406\pi\) | |||||||
\(432\) | −2.82843 | − | 4.89898i | −0.136083 | − | 0.235702i | ||||
\(433\) | 10.2457 | − | 17.7460i | 0.492376 | − | 0.852820i | −0.507586 | − | 0.861601i | \(-0.669462\pi\) |
0.999961 | + | 0.00878126i | \(0.00279520\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.30625 | + | 3.99455i | −0.110576 | + | 0.191524i | ||||
\(436\) | 0.795832 | − | 1.37842i | 0.0381134 | − | 0.0660144i | ||||
\(437\) | 22.0499 | 1.05479 | ||||||||
\(438\) | 8.89792 | − | 15.4116i | 0.425159 | − | 0.736397i | ||||
\(439\) | 10.0291 | + | 17.3710i | 0.478664 | + | 0.829070i | 0.999701 | − | 0.0244638i | \(-0.00778785\pi\) |
−0.521037 | + | 0.853534i | \(0.674455\pi\) | |||||||
\(440\) | −23.3345 | − | 40.4166i | −1.11243 | − | 1.92678i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.806253 | + | 4.50694i | 0.0383495 | + | 0.214373i | ||||
\(443\) | 10.0000 | 0.475114 | 0.237557 | − | 0.971374i | \(-0.423653\pi\) | ||||
0.237557 | + | 0.971374i | \(0.423653\pi\) | |||||||
\(444\) | 1.97695 | + | 3.42418i | 0.0938220 | + | 0.162504i | ||||
\(445\) | 30.6937 | + | 53.1631i | 1.45502 | + | 2.52017i | ||||
\(446\) | 2.82843 | − | 4.89898i | 0.133930 | − | 0.231973i | ||||
\(447\) | −20.6357 | −0.976036 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.7958 | + | 20.4310i | −0.556680 | + | 0.964198i | 0.441091 | + | 0.897462i | \(0.354592\pi\) |
−0.997771 | + | 0.0667352i | \(0.978742\pi\) | |||||||
\(450\) | −11.7958 | −0.556061 | ||||||||
\(451\) | 5.64212 | − | 9.77243i | 0.265677 | − | 0.460166i | ||||
\(452\) | 1.29583 | + | 2.24445i | 0.0609508 | + | 0.105570i | ||||
\(453\) | −1.12548 | − | 1.94938i | −0.0528795 | − | 0.0915899i | ||||
\(454\) | 7.35981 | 0.345413 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 12.0000 | 0.561951 | ||||||||
\(457\) | −2.29583 | − | 3.97650i | −0.107394 | − | 0.186013i | 0.807320 | − | 0.590115i | \(-0.200917\pi\) |
−0.914714 | + | 0.404102i | \(0.867584\pi\) | |||||||
\(458\) | −6.36396 | − | 11.0227i | −0.297368 | − | 0.515057i | ||||
\(459\) | −3.59166 | + | 6.22094i | −0.167644 | + | 0.290369i | ||||
\(460\) | 31.9494 | 1.48965 | ||||||||
\(461\) | −12.0930 | + | 20.9457i | −0.563227 | + | 0.975538i | 0.433985 | + | 0.900920i | \(0.357107\pi\) |
−0.997212 | + | 0.0746180i | \(0.976226\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.3875 | −0.808065 | −0.404033 | − | 0.914745i | \(-0.632392\pi\) | ||||
−0.404033 | + | 0.914745i | \(0.632392\pi\) | |||||||
\(464\) | 0.397916 | − | 0.689210i | 0.0184728 | − | 0.0319958i | ||||
\(465\) | 4.09827 | + | 7.09841i | 0.190053 | + | 0.329181i | ||||
\(466\) | −8.59166 | − | 14.8812i | −0.398001 | − | 0.689358i | ||||
\(467\) | −31.9494 | −1.47844 | −0.739222 | − | 0.673462i | \(-0.764806\pi\) | ||||
−0.739222 | + | 0.673462i | \(0.764806\pi\) | |||||||
\(468\) | −2.75624 | + | 2.32446i | −0.127407 | + | 0.107448i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −5.79583 | − | 10.0387i | −0.267342 | − | 0.463050i | ||||
\(471\) | 0.102084 | + | 0.176815i | 0.00470379 | + | 0.00814721i | ||||
\(472\) | −18.6588 | + | 32.3179i | −0.858840 | + | 1.48755i | ||||
\(473\) | −29.5917 | −1.36063 | ||||||||
\(474\) | 1.55858 | − | 2.69954i | 0.0715881 | − | 0.123994i | ||||
\(475\) | 16.6818 | − | 28.8938i | 0.765415 | − | 1.32574i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6.29583 | + | 10.9047i | −0.288266 | + | 0.499292i | ||||
\(478\) | 5.10208 | + | 8.83707i | 0.233364 | + | 0.404198i | ||||
\(479\) | 10.4622 | + | 18.1211i | 0.478032 | + | 0.827975i | 0.999683 | − | 0.0251838i | \(-0.00801710\pi\) |
−0.521651 | + | 0.853159i | \(0.674684\pi\) | |||||||
\(480\) | 28.9792 | 1.32271 | ||||||||
\(481\) | −7.70599 | + | 6.49881i | −0.351363 | + | 0.296320i | ||||
\(482\) | 11.1693 | 0.508749 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.70417 | + | 2.95171i | 0.0774622 | + | 0.134168i | ||||
\(485\) | 8.69375 | − | 15.0580i | 0.394763 | − | 0.683749i | ||||
\(486\) | 9.89949 | 0.449050 | ||||||||
\(487\) | −0.204168 | + | 0.353630i | −0.00925176 | + | 0.0160245i | −0.870614 | − | 0.491966i | \(-0.836278\pi\) |
0.861362 | + | 0.507991i | \(0.169612\pi\) | |||||||
\(488\) | 12.5114 | − | 21.6703i | 0.566363 | − | 0.980970i | ||||
\(489\) | 21.7612 | 0.984076 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.79583 | − | 8.30662i | −0.216433 | − | 0.374873i | 0.737282 | − | 0.675585i | \(-0.236109\pi\) |
−0.953715 | + | 0.300712i | \(0.902776\pi\) | |||||||
\(492\) | 2.10208 | + | 3.64092i | 0.0947693 | + | 0.164145i | ||||
\(493\) | −1.01058 | −0.0455143 | ||||||||
\(494\) | 1.79583 | + | 10.0387i | 0.0807983 | + | 0.451661i | ||||
\(495\) | 15.5563 | 0.699206 | ||||||||
\(496\) | −0.707107 | − | 1.22474i | −0.0317500 | − | 0.0549927i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 7.00000 | − | 12.1244i | 0.313678 | − | 0.543305i | ||||
\(499\) | 25.7958 | 1.15478 | 0.577390 | − | 0.816468i | \(-0.304071\pi\) | ||||
0.577390 | + | 0.816468i | \(0.304071\pi\) | |||||||
\(500\) | 13.9256 | − | 24.1198i | 0.622771 | − | 1.07867i | ||||
\(501\) | −1.20417 | + | 2.08568i | −0.0537983 | + | 0.0931814i | ||||
\(502\) | −16.6818 | −0.744546 | ||||||||
\(503\) | −12.8576 | + | 22.2699i | −0.573290 | + | 0.992967i | 0.422935 | + | 0.906160i | \(0.361000\pi\) |
−0.996225 | + | 0.0868074i | \(0.972334\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.9896 | + | 34.6230i | 0.889525 | + | 1.54070i | ||||
\(506\) | 29.5917 | 1.31551 | ||||||||
\(507\) | 14.1421 | + | 11.7473i | 0.628074 | + | 0.521718i | ||||
\(508\) | 11.5917 | 0.514297 | ||||||||
\(509\) | −3.04498 | − | 5.27406i | −0.134966 | − | 0.233769i | 0.790618 | − | 0.612309i | \(-0.209759\pi\) |
−0.925585 | + | 0.378541i | \(0.876426\pi\) | |||||||
\(510\) | 3.67990 | + | 6.37378i | 0.162949 | + | 0.282236i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −11.0000 | −0.486136 | ||||||||
\(513\) | −8.00000 | + | 13.8564i | −0.353209 | + | 0.611775i | ||||
\(514\) | −4.31483 | + | 7.47350i | −0.190319 | + | 0.329642i | ||||
\(515\) | 22.0000 | 0.969436 | ||||||||
\(516\) | 5.51249 | − | 9.54790i | 0.242674 | − | 0.420323i | ||||
\(517\) | 5.36812 | + | 9.29785i | 0.236089 | + | 0.408919i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −25.1833 | −1.10543 | ||||||||
\(520\) | 7.80625 | + | 43.6369i | 0.342327 | + | 1.91360i | ||||
\(521\) | 4.67575 | 0.204848 | 0.102424 | − | 0.994741i | \(-0.467340\pi\) | ||||
0.102424 | + | 0.994741i | \(0.467340\pi\) | |||||||
\(522\) | 0.397916 | + | 0.689210i | 0.0174163 | + | 0.0301659i | ||||
\(523\) | −21.0688 | − | 36.4923i | −0.921276 | − | 1.59570i | −0.797444 | − | 0.603393i | \(-0.793815\pi\) |
−0.123832 | − | 0.992303i | \(-0.539518\pi\) | |||||||
\(524\) | 2.68406 | − | 4.64893i | 0.117254 | − | 0.203089i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.69375 | + | 2.93366i | −0.0738509 | + | 0.127913i | ||||
\(527\) | −0.897916 | + | 1.55524i | −0.0391138 | + | 0.0677471i | ||||
\(528\) | 5.36812 | 0.233617 | ||||||||
\(529\) | −18.8875 | + | 32.7141i | −0.821195 | + | 1.42235i | ||||
\(530\) | 25.8020 | + | 44.6904i | 1.12077 | + | 1.94123i | ||||
\(531\) | −6.21959 | − | 10.7726i | −0.269907 | − | 0.467493i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.19375 | + | 6.91015i | −0.354911 | + | 0.299312i | ||||
\(534\) | −21.1833 | −0.916692 | ||||||||
\(535\) | 12.2948 | + | 21.2952i | 0.531551 | + | 0.920674i | ||||
\(536\) | −5.69375 | − | 9.86186i | −0.245932 | − | 0.425967i | ||||
\(537\) | 13.8534 | − | 23.9948i | 0.597818 | − | 1.03545i | ||||
\(538\) | 12.4392 | 0.536291 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −11.5917 | + | 20.0773i | −0.498826 | + | 0.863992i | ||||
\(541\) | 6.59166 | 0.283398 | 0.141699 | − | 0.989910i | \(-0.454744\pi\) | ||||
0.141699 | + | 0.989910i | \(0.454744\pi\) | |||||||
\(542\) | −8.75928 | + | 15.1715i | −0.376243 | + | 0.651673i | ||||
\(543\) | −2.69375 | − | 4.66571i | −0.115600 | − | 0.200225i | ||||
\(544\) | 3.17461 | + | 5.49859i | 0.136110 | + | 0.235750i | ||||
\(545\) | 6.52307 | 0.279418 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.9792 | 0.469435 | 0.234717 | − | 0.972064i | \(-0.424584\pi\) | ||||
0.234717 | + | 0.972064i | \(0.424584\pi\) | |||||||
\(548\) | −9.39792 | − | 16.2777i | −0.401459 | − | 0.695347i | ||||
\(549\) | 4.17046 | + | 7.22344i | 0.177991 | + | 0.308289i | ||||
\(550\) | 22.3875 | − | 38.7763i | 0.954606 | − | 1.65343i | ||||
\(551\) | −2.25095 | −0.0958938 | ||||||||
\(552\) | −16.5375 | + | 28.6437i | −0.703881 | + | 1.21916i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 32.1833 | 1.36734 | ||||||||
\(555\) | −8.10208 | + | 14.0332i | −0.343914 | + | 0.595677i | ||||
\(556\) | −0.851476 | − | 1.47480i | −0.0361106 | − | 0.0625454i | ||||
\(557\) | −0.704168 | − | 1.21966i | −0.0298366 | − | 0.0516785i | 0.850722 | − | 0.525617i | \(-0.176165\pi\) |
−0.880558 | + | 0.473938i | \(0.842832\pi\) | |||||||
\(558\) | 1.41421 | 0.0598684 | ||||||||
\(559\) | 26.4370 | + | 9.54790i | 1.11816 | + | 0.403833i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.40834 | − | 5.90341i | −0.143900 | − | 0.249242i | ||||
\(562\) | −12.3979 | − | 21.4738i | −0.522975 | − | 0.905818i | ||||
\(563\) | −6.21959 | + | 10.7726i | −0.262125 | + | 0.454013i | −0.966806 | − | 0.255511i | \(-0.917756\pi\) |
0.704682 | + | 0.709524i | \(0.251090\pi\) | |||||||
\(564\) | −4.00000 | −0.168430 | ||||||||
\(565\) | −5.31067 | + | 9.19835i | −0.223422 | + | 0.386977i | ||||
\(566\) | 7.92254 | − | 13.7222i | 0.333009 | − | 0.576789i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.00000 | − | 15.5885i | 0.377632 | − | 0.654077i | ||||
\(569\) | −12.7958 | − | 22.1630i | −0.536429 | − | 0.929123i | −0.999093 | − | 0.0425886i | \(-0.986440\pi\) |
0.462664 | − | 0.886534i | \(-0.346894\pi\) | |||||||
\(570\) | 8.19654 | + | 14.1968i | 0.343315 | + | 0.594640i | ||||
\(571\) | −23.1833 | −0.970192 | −0.485096 | − | 0.874461i | \(-0.661215\pi\) | ||||
−0.485096 | + | 0.874461i | \(0.661215\pi\) | |||||||
\(572\) | −2.41006 | − | 13.4722i | −0.100770 | − | 0.563301i | ||||
\(573\) | −22.9162 | −0.957336 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 45.9792 | + | 79.6382i | 1.91746 | + | 3.32114i | ||||
\(576\) | 3.50000 | − | 6.06218i | 0.145833 | − | 0.252591i | ||||
\(577\) | 24.7340 | 1.02969 | 0.514845 | − | 0.857283i | \(-0.327849\pi\) | ||||
0.514845 | + | 0.857283i | \(0.327849\pi\) | |||||||
\(578\) | 7.69375 | − | 13.3260i | 0.320018 | − | 0.554287i | ||||
\(579\) | −15.9747 | + | 27.6690i | −0.663887 | + | 1.14989i | ||||
\(580\) | −3.26153 | −0.135428 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 3.00000 | + | 5.19615i | 0.124354 | + | 0.215387i | ||||
\(583\) | −23.8979 | − | 41.3924i | −0.989751 | − | 1.71430i | ||||
\(584\) | 37.7507 | 1.56213 | ||||||||
\(585\) | −13.8979 | − | 5.01934i | −0.574608 | − | 0.207524i | ||||
\(586\) | −2.97280 | −0.122805 | ||||||||
\(587\) | −8.34091 | − | 14.4469i | −0.344266 | − | 0.596287i | 0.640954 | − | 0.767579i | \(-0.278539\pi\) |
−0.985220 | + | 0.171293i | \(0.945206\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.00000 | + | 3.46410i | −0.0824086 | + | 0.142736i | ||||
\(590\) | −50.9792 | −2.09878 | ||||||||
\(591\) | 5.65685 | − | 9.79796i | 0.232692 | − | 0.403034i | ||||
\(592\) | 1.39792 | − | 2.42126i | 0.0574540 | − | 0.0995132i | ||||
\(593\) | −8.34091 | −0.342520 | −0.171260 | − | 0.985226i | \(-0.554784\pi\) | ||||
−0.171260 | + | 0.985226i | \(0.554784\pi\) | |||||||
\(594\) | −10.7362 | + | 18.5957i | −0.440513 | + | 0.762991i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.29583 | − | 12.6368i | −0.298849 | − | 0.517621i | ||||
\(597\) | 7.18333 | 0.293994 | ||||||||
\(598\) | −26.4370 | − | 9.54790i | −1.08109 | − | 0.390443i | ||||
\(599\) | −33.5917 | −1.37252 | −0.686259 | − | 0.727357i | \(-0.740748\pi\) | ||||
−0.686259 | + | 0.727357i | \(0.740748\pi\) | |||||||
\(600\) | 25.0227 | + | 43.3407i | 1.02155 | + | 1.76937i | ||||
\(601\) | 12.0930 | + | 20.9457i | 0.493284 | + | 0.854393i | 0.999970 | − | 0.00773797i | \(-0.00246310\pi\) |
−0.506686 | + | 0.862130i | \(0.669130\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.79583 | 0.154578 | ||||||||
\(604\) | 0.795832 | − | 1.37842i | 0.0323819 | − | 0.0560871i | ||||
\(605\) | −6.98415 | + | 12.0969i | −0.283946 | + | 0.491809i | ||||
\(606\) | −13.7958 | −0.560417 | ||||||||
\(607\) | −2.39532 | + | 4.14882i | −0.0972231 | + | 0.168395i | −0.910534 | − | 0.413434i | \(-0.864329\pi\) |
0.813311 | + | 0.581829i | \(0.197663\pi\) | |||||||
\(608\) | 7.07107 | + | 12.2474i | 0.286770 | + | 0.496700i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 34.1833 | 1.38404 | ||||||||
\(611\) | −1.79583 | − | 10.0387i | −0.0726516 | − | 0.406121i | ||||
\(612\) | −1.26984 | −0.0513304 | ||||||||
\(613\) | −20.9896 | − | 36.3550i | −0.847761 | − | 1.46837i | −0.883202 | − | 0.468994i | \(-0.844617\pi\) |
0.0354405 | − | 0.999372i | \(-0.488717\pi\) | |||||||
\(614\) | 10.0291 | + | 17.3710i | 0.404743 | + | 0.701035i | ||||
\(615\) | −8.61491 | + | 14.9215i | −0.347387 | + | 0.601692i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.19375 | + | 3.79968i | −0.0883169 | + | 0.152969i | −0.906800 | − | 0.421561i | \(-0.861482\pi\) |
0.818483 | + | 0.574531i | \(0.194815\pi\) | |||||||
\(618\) | −3.79583 | + | 6.57457i | −0.152691 | + | 0.264468i | ||||
\(619\) | −33.9116 | −1.36302 | −0.681512 | − | 0.731807i | \(-0.738677\pi\) | ||||
−0.681512 | + | 0.731807i | \(0.738677\pi\) | |||||||
\(620\) | −2.89792 | + | 5.01934i | −0.116383 | + | 0.201581i | ||||
\(621\) | −22.0499 | − | 38.1916i | −0.884834 | − | 1.53258i | ||||
\(622\) | 14.4161 | + | 24.9695i | 0.578034 | + | 1.00118i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.79583 | − | 1.73205i | −0.191987 | − | 0.0693375i | ||||
\(625\) | 55.1625 | 2.20650 | ||||||||
\(626\) | −7.63381 | − | 13.2221i | −0.305108 | − | 0.528463i | ||||
\(627\) | −7.59166 | − | 13.1491i | −0.303182 | − | 0.525126i | ||||
\(628\) | −0.0721845 | + | 0.125027i | −0.00288047 | + | 0.00498913i | ||||
\(629\) | −3.55027 | −0.141559 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.7958 | − | 34.2874i | 0.788060 | − | 1.36496i | −0.139095 | − | 0.990279i | \(-0.544419\pi\) |
0.927154 | − | 0.374680i | \(-0.122247\pi\) | |||||||
\(632\) | 6.61251 | 0.263031 | ||||||||
\(633\) | −5.51249 | + | 9.54790i | −0.219102 | + | 0.379495i | ||||
\(634\) | −3.29583 | − | 5.70855i | −0.130894 | − | 0.226715i | ||||
\(635\) | 23.7529 | + | 41.1412i | 0.942605 | + | 1.63264i | ||||
\(636\) | 17.8073 | 0.706105 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −3.02084 | −0.119596 | ||||||||
\(639\) | 3.00000 | + | 5.19615i | 0.118678 | + | 0.205557i | ||||
\(640\) | 6.14741 | + | 10.6476i | 0.242998 | + | 0.420884i | ||||
\(641\) | 2.39792 | − | 4.15331i | 0.0947120 | − | 0.164046i | −0.814776 | − | 0.579775i | \(-0.803140\pi\) |
0.909488 | + | 0.415729i | \(0.136474\pi\) | |||||||
\(642\) | −8.48528 | −0.334887 | ||||||||
\(643\) | −2.82843 | + | 4.89898i | −0.111542 | + | 0.193197i | −0.916392 | − | 0.400281i | \(-0.868912\pi\) |
0.804850 | + | 0.593478i | \(0.202246\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 45.1833 | 1.77909 | ||||||||
\(646\) | −1.79583 | + | 3.11047i | −0.0706560 | + | 0.122380i | ||||
\(647\) | −19.3659 | − | 33.5427i | −0.761351 | − | 1.31870i | −0.942154 | − | 0.335180i | \(-0.891203\pi\) |
0.180803 | − | 0.983519i | \(-0.442130\pi\) | |||||||
\(648\) | −7.50000 | − | 12.9904i | −0.294628 | − | 0.510310i | ||||
\(649\) | 47.2170 | 1.85343 | ||||||||
\(650\) | −32.5122 | + | 27.4190i | −1.27523 | + | 1.07546i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 7.69375 | + | 13.3260i | 0.301310 | + | 0.521885i | ||||
\(653\) | 6.59166 | + | 11.4171i | 0.257952 | + | 0.446785i | 0.965693 | − | 0.259686i | \(-0.0836191\pi\) |
−0.707741 | + | 0.706472i | \(0.750286\pi\) | |||||||
\(654\) | −1.12548 | + | 1.94938i | −0.0440096 | + | 0.0762268i | ||||
\(655\) | 22.0000 | 0.859611 | ||||||||
\(656\) | 1.48640 | − | 2.57452i | 0.0580341 | − | 0.100518i | ||||
\(657\) | −6.29178 | + | 10.8977i | −0.245466 | + | 0.425159i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.20417 | − | 15.9421i | 0.358543 | − | 0.621016i | −0.629174 | − | 0.777264i | \(-0.716607\pi\) |
0.987718 | + | 0.156249i | \(0.0499401\pi\) | |||||||
\(660\) | −11.0000 | − | 19.0526i | −0.428174 | − | 0.741620i | ||||
\(661\) | −3.75209 | − | 6.49881i | −0.145939 | − | 0.252774i | 0.783784 | − | 0.621034i | \(-0.213287\pi\) |
−0.929723 | + | 0.368260i | \(0.879954\pi\) | |||||||
\(662\) | 29.3875 | 1.14218 | ||||||||
\(663\) | 1.14021 | + | 6.37378i | 0.0442822 | + | 0.247537i | ||||
\(664\) | 29.6985 | 1.15252 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.39792 | + | 2.42126i | 0.0541681 | + | 0.0938220i | ||||
\(667\) | 3.10208 | − | 5.37297i | 0.120113 | − | 0.208042i | ||||
\(668\) | −1.70295 | −0.0658892 | ||||||||
\(669\) | 4.00000 | − | 6.92820i | 0.154649 | − | 0.267860i | ||||
\(670\) | 7.77817 | − | 13.4722i | 0.300497 | − | 0.520476i | ||||
\(671\) | −31.6607 | −1.22225 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.9896 | + | 20.7666i | 0.462164 | + | 0.800492i | 0.999069 | − | 0.0431511i | \(-0.0137397\pi\) |
−0.536904 | + | 0.843643i | \(0.680406\pi\) | |||||||
\(674\) | −8.98958 | − | 15.5704i | −0.346266 | − | 0.599750i | ||||
\(675\) | −66.7273 | −2.56833 | ||||||||
\(676\) | −2.19375 | + | 12.8136i | −0.0843749 | + | 0.492829i | ||||
\(677\) | 7.64854 | 0.293957 | 0.146979 | − | 0.989140i | \(-0.453045\pi\) | ||||
0.146979 | + | 0.989140i | \(0.453045\pi\) | |||||||
\(678\) | −1.83258 | − | 3.17413i | −0.0703799 | − | 0.121902i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −7.80625 | + | 13.5208i | −0.299356 | + | 0.518500i | ||||
\(681\) | 10.4083 | 0.398848 | ||||||||
\(682\) | −2.68406 | + | 4.64893i | −0.102778 | + | 0.178017i | ||||
\(683\) | 3.38749 | − | 5.86731i | 0.129619 | − | 0.224506i | −0.793910 | − | 0.608035i | \(-0.791958\pi\) |
0.923529 | + | 0.383529i | \(0.125291\pi\) | |||||||
\(684\) | −2.82843 | −0.108148 | ||||||||
\(685\) | 38.5152 | − | 66.7103i | 1.47159 | − | 2.54887i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −9.00000 | − | 15.5885i | −0.343371 | − | 0.594737i | ||||
\(688\) | −7.79583 | −0.297213 | ||||||||
\(689\) | 7.99473 | + | 44.6904i | 0.304575 | + | 1.70257i | ||||
\(690\) | −45.1833 | −1.72010 | ||||||||
\(691\) | 1.26984 | + | 2.19944i | 0.0483072 | + | 0.0836705i | 0.889168 | − | 0.457581i | \(-0.151284\pi\) |
−0.840861 | + | 0.541251i | \(0.817951\pi\) | |||||||
\(692\) | −8.90365 | − | 15.4216i | −0.338466 | − | 0.586240i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −32.9792 | −1.25187 | ||||||||
\(695\) | 3.48958 | − | 6.04413i | 0.132367 | − | 0.229267i | ||||
\(696\) | 1.68821 | − | 2.92407i | 0.0639916 | − | 0.110837i | ||||
\(697\) | −3.77499 | −0.142988 | ||||||||
\(698\) | −13.2907 | + | 23.0201i | −0.503059 | + | 0.871324i | ||||
\(699\) | −12.1504 | − | 21.0452i | −0.459572 | − | 0.796002i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −29.5917 | −1.11766 | −0.558831 | − | 0.829282i | \(-0.688750\pi\) | ||||
−0.558831 | + | 0.829282i | \(0.688750\pi\) | |||||||
\(702\) | 15.5917 | − | 13.1491i | 0.588469 | − | 0.496283i | ||||
\(703\) | −7.90781 | −0.298249 | ||||||||
\(704\) | 13.2854 | + | 23.0110i | 0.500713 | + | 0.867260i | ||||
\(705\) | −8.19654 | − | 14.1968i | −0.308700 | − | 0.534684i | ||||
\(706\) | −2.61187 | + | 4.52390i | −0.0982992 | + | 0.170259i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −8.79583 | + | 15.2348i | −0.330568 | + | 0.572560i | ||||
\(709\) | 4.60208 | − | 7.97104i | 0.172835 | − | 0.299359i | −0.766575 | − | 0.642155i | \(-0.778041\pi\) |
0.939410 | + | 0.342796i | \(0.111374\pi\) | |||||||
\(710\) | 24.5896 | 0.922832 | ||||||||
\(711\) | −1.10208 | + | 1.90887i | −0.0413314 | + | 0.0715881i | ||||
\(712\) | −22.4683 | − | 38.9163i | −0.842036 | − | 1.45845i | ||||
\(713\) | −5.51249 | − | 9.54790i | −0.206444 | − | 0.357572i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 42.8771 | − | 36.1602i | 1.60351 | − | 1.35231i | ||||
\(716\) | 19.5917 | 0.732175 | ||||||||
\(717\) | 7.21544 | + | 12.4975i | 0.269465 | + | 0.466728i | ||||
\(718\) | 2.00000 | + | 3.46410i | 0.0746393 | + | 0.129279i | ||||
\(719\) | −0.995845 | + | 1.72485i | −0.0371387 | + | 0.0643262i | −0.883997 | − | 0.467492i | \(-0.845158\pi\) |
0.846859 | + | 0.531818i | \(0.178491\pi\) | |||||||
\(720\) | 4.09827 | 0.152734 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 5.50000 | − | 9.52628i | 0.204689 | − | 0.354531i | ||||
\(723\) | 15.7958 | 0.587453 | ||||||||
\(724\) | 1.90477 | − | 3.29915i | 0.0707901 | − | 0.122612i | ||||
\(725\) | −4.69375 | − | 8.12981i | −0.174321 | − | 0.301934i | ||||
\(726\) | −2.41006 | − | 4.17434i | −0.0894456 | − | 0.154924i | ||||
\(727\) | 32.4974 | 1.20526 | 0.602632 | − | 0.798020i | \(-0.294119\pi\) | ||||
0.602632 | + | 0.798020i | \(0.294119\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 29.0000 | 1.07407 | ||||||||
\(730\) | 25.7854 | + | 44.6616i | 0.954361 | + | 1.65300i | ||||
\(731\) | 4.94975 | + | 8.57321i | 0.183073 | + | 0.317092i | ||||
\(732\) | 5.89792 | − | 10.2155i | 0.217993 | − | 0.377575i | ||||
\(733\) | −33.2193 | −1.22698 | −0.613491 | − | 0.789702i | \(-0.710235\pi\) | ||||
−0.613491 | + | 0.789702i | \(0.710235\pi\) | |||||||
\(734\) | −10.6066 | + | 18.3712i | −0.391497 | + | 0.678092i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −38.9792 | −1.43679 | ||||||||
\(737\) | −7.20417 | + | 12.4780i | −0.265369 | + | 0.459633i | ||||
\(738\) | 1.48640 | + | 2.57452i | 0.0547151 | + | 0.0947693i | ||||
\(739\) | 11.5917 | + | 20.0773i | 0.426406 | + | 0.738557i | 0.996551 | − | 0.0829873i | \(-0.0264461\pi\) |
−0.570144 | + | 0.821545i | \(0.693113\pi\) | |||||||
\(740\) | −11.4581 | −0.421207 | ||||||||
\(741\) | 2.53969 | + | 14.1968i | 0.0932978 | + | 0.521534i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.5917 | + | 25.2735i | 0.535316 | + | 0.927195i | 0.999148 | + | 0.0412716i | \(0.0131409\pi\) |
−0.463832 | + | 0.885923i | \(0.653526\pi\) | |||||||
\(744\) | −3.00000 | − | 5.19615i | −0.109985 | − | 0.190500i | ||||
\(745\) | 29.9003 | − | 51.7888i | 1.09546 | − | 1.89740i | ||||
\(746\) | 6.59166 | 0.241338 | ||||||||
\(747\) | −4.94975 | + | 8.57321i | −0.181102 | + | 0.313678i | ||||
\(748\) | 2.41006 | − | 4.17434i | 0.0881205 | − | 0.152629i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −19.6937 | + | 34.1106i | −0.719114 | + | 1.24554i | ||||
\(751\) | 3.89792 | + | 6.75139i | 0.142237 | + | 0.246362i | 0.928339 | − | 0.371735i | \(-0.121237\pi\) |
−0.786102 | + | 0.618097i | \(0.787904\pi\) | |||||||
\(752\) | 1.41421 | + | 2.44949i | 0.0515711 | + | 0.0893237i | ||||
\(753\) | −23.5917 | −0.859728 | ||||||||
\(754\) | 2.69880 | + | 0.974691i | 0.0982844 | + | 0.0354961i | ||||
\(755\) | 6.52307 | 0.237399 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.59166 | − | 11.4171i | −0.239578 | − | 0.414961i | 0.721015 | − | 0.692919i | \(-0.243676\pi\) |
−0.960593 | + | 0.277958i | \(0.910342\pi\) | |||||||
\(758\) | −12.6937 | + | 21.9862i | −0.461058 | + | 0.798575i | ||||
\(759\) | 41.8489 | 1.51902 | ||||||||
\(760\) | −17.3875 | + | 30.1160i | −0.630711 | + | 1.09242i | ||||
\(761\) | 8.90365 | − | 15.4216i | 0.322757 | − | 0.559032i | −0.658299 | − | 0.752757i | \(-0.728724\pi\) |
0.981056 | + | 0.193725i | \(0.0620570\pi\) | |||||||
\(762\) | −16.3931 | −0.593859 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −8.10208 | − | 14.0332i | −0.293123 | − | 0.507704i | ||||
\(765\) | −2.60208 | − | 4.50694i | −0.0940786 | − | 0.162949i | ||||
\(766\) | 12.1504 | 0.439013 | ||||||||
\(767\) | −42.1833 | − | 15.2348i | −1.52315 | − | 0.550098i | ||||
\(768\) | −24.0416 | −0.867528 | ||||||||
\(769\) | −2.12132 | − | 3.67423i | −0.0764968 | − | 0.132496i | 0.825239 | − | 0.564783i | \(-0.191040\pi\) |
−0.901736 | + | 0.432287i | \(0.857707\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.10208 | + | 10.5691i | −0.219761 | + | 0.380638i | ||||
\(772\) | −22.5917 | −0.813092 | ||||||||
\(773\) | −17.3889 | + | 30.1185i | −0.625436 | + | 1.08329i | 0.363020 | + | 0.931781i | \(0.381746\pi\) |
−0.988456 | + | 0.151506i | \(0.951588\pi\) | |||||||
\(774\) | 3.89792 | − | 6.75139i | 0.140108 | − | 0.242674i | ||||
\(775\) | −16.6818 | −0.599229 | ||||||||
\(776\) | −6.36396 | + | 11.0227i | −0.228453 | + | 0.395692i | ||||
\(777\) | 0 | 0 | ||||||||